Best Known (81, 81+46, s)-Nets in Base 9
(81, 81+46, 740)-Net over F9 — Constructive and digital
Digital (81, 127, 740)-net over F9, using
- 3 times m-reduction [i] based on digital (81, 130, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 65, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- trace code for nets [i] based on digital (16, 65, 370)-net over F81, using
(81, 81+46, 1109)-Net over F9 — Digital
Digital (81, 127, 1109)-net over F9, using
(81, 81+46, 218986)-Net in Base 9 — Upper bound on s
There is no (81, 127, 218987)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 15 446490 124655 419291 406348 482434 988792 597640 051059 327371 479344 463811 976223 004568 562980 757407 886941 578422 656925 254208 564073 > 9127 [i]